Edit Profile (opens in new tab) Dummigan, Neil Co-Author Distance Author ID: dummigan.neil Published as: Dummigan, Neil Documents Indexed: 45 Publications since 1995, including 1 Additional arXiv Preprint Co-Authors: 24 Co-Authors with 22 Joint Publications 372 Co-Co-Authors all top 5 Co-Authors 23 single-authored 3 Bergström, Jonas 3 Heim, Bernhard Ernst 3 Watkins, Mark James 2 Ibukiyama, Tomoyoshi 2 Katsurada, Hidenori 2 Krishnamoorthy, Srilakshmi 2 Tiep Pham Huu 1 Böcherer, Siegfried 1 Farmer, David W. 1 Farwa, Shabieh 1 Fretwell, Dan 1 Fretwell, Daniel 1 Golyshev, Vasily V. 1 Koutsoliotas, Sally 1 Martin, Phil 1 Mégarbané, Thomas 1 Pacetti, Ariel 1 Rama, Gustavo 1 Rendina, Angelo 1 Schönnenbeck, Sebastian 1 Schulze-Pillot, Rainer 1 Spencer, David B. 1 Stein, William A. 1 Tornaría, Gonzalo all top 5 Serials 6 Journal of Number Theory 5 Experimental Mathematics 3 Bulletin of the London Mathematical Society 3 International Journal of Number Theory 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 American Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Journal of the Ramanujan Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 2 Mathematical Research Letters 2 Pure and Applied Mathematics Quarterly 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Selecta Mathematica. New Series 1 Research in Number Theory Fields 44 Number theory (11-XX) 7 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 177 times in 111 Documents Cited by ▼ Year ▼ Yoshida lifts and Selmer groups. Zbl 1276.11069 Böcherer, Siegfried; Dummigan, Neil; Schulze-Pillot, Rainer 21 2012 Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups. Zbl 1254.11046 Dummigan, Neil; Ibukiyama, Tomoyoshi; Katsurada, Hidenori 14 2011 Ramanujan-style congruences of local origin. Zbl 1304.11027 Dummigan, Neil; Fretwell, Daniel 12 2014 Eisenstein congruences for split reductive groups. Zbl 1404.11048 Bergström, Jonas; Dummigan, Neil 12 2016 Symmetric square \(L\)-functions and Shafarevich-Tate groups. II. Zbl 1229.11078 Dummigan, Neil 11 2009 Lower bounds for the minima of certain symplectic and unitary group lattices. Zbl 0936.20004 Dummigan, Neil; Pham Huu Tiep 10 1999 The determinants of certain Mordell-Weil lattices. Zbl 0914.11033 Dummigan, Neil 10 1995 Symmetric square \(L\)-functions and Shafarevich-Tate groups. Zbl 1039.11029 Dummigan, Neil 10 2001 Rational torsion on optimal curves. Zbl 1158.11321 Dummigan, Neil 7 2005 A simple trace formula for algebraic modular forms. Zbl 1309.11037 Dummigan, Neil 7 2013 Congruences of modular forms and Selmer groups. Zbl 1020.11026 Dummigan, Neil 6 2001 Period ratios of modular forms. Zbl 1041.11037 Dummigan, Neil 5 2000 Complete \(p\)-descent for Jacobians of Hermitian curves. Zbl 0985.11028 Dummigan, Neil 4 1999 Congruences for certain theta series. Zbl 0916.11039 Dummigan, Neil; Pham Huu Tiep 4 1998 Symplectic group lattices as Mordell-Weil sublattices. Zbl 0869.11057 Dummigan, Neil 4 1996 Exact holomorphic differentials on a quotient of the Ree curve. Zbl 1307.14035 Dummigan, Neil; Farwa, Shabieh 4 2014 Eisenstein primes, critical values and global torsion. Zbl 1221.11124 Dummigan, Neil 4 2007 On a conjecture of Watkins. Zbl 1161.11351 Dummigan, Neil 3 2006 Algebraic cycles and even unimodular lattices. Zbl 0926.11044 Dummigan, Neil 3 1997 Eisenstein congruences for \(\mathrm{SO}(4,3)\), \(\mathrm{SO}(4,4)\), spinor, and triple product \(L\)-values. Zbl 1416.11066 Bergström, Jonas; Dummigan, Neil; Mégarbané, Thomas; Ibukiyama, Tomoyoshi; Katsurada, Hidenori 3 2018 Euler factors and local root numbers for symmetric powers of elliptic curves. Zbl 1191.11020 Dummigan, Neil; Martin, Phil; Watkins, Mark 3 2009 Constructing elements in Shafarevich-Tate groups of modular motives. Zbl 1161.11354 Dummigan, Neil; Stein, William; Watkins, Mark 3 2003 Lifting puzzles and congruences of Ikeda and Ikeda-Miyawaki lifts. Zbl 1422.11109 Dummigan, Neil 2 2017 Congruences of local origin and automorphic induction. Zbl 1480.11052 Dummigan, Neil; Spencer, David 2 2021 Triple product \(L\)-values and dihedral congruences for cusp forms. Zbl 1198.11050 Dummigan, Neil; Heim, Bernhard 1 2010 Values of a Hilbert modular symmetric square \(L\)-function and the Bloch-Kato conjecture. Zbl 1137.11037 Dummigan, Neil 1 2005 Symmetric squares of elliptic curves: rational points and Steiner groups. Zbl 1162.11355 Dummigan, Neil 1 2002 Rational points of order 7. Zbl 1162.11029 Dummigan, Neil 1 2008 Critical values of symmetric power \(L\)-functions. Zbl 1167.11020 Dummigan, Neil; Watkins, Mark 1 2009 Automorphic forms for some even unimodular lattices. Zbl 1483.11089 Dummigan, Neil; Fretwell, Dan 1 2021 Automorphic forms on Feit’s Hermitian lattices. Zbl 1487.11047 Dummigan, Neil; Schönnenbeck, Sebastian 1 2021 Lifting congruences to weight 3/2. Zbl 1425.11087 Dummigan, Neil; Krishnamoorthy, Srilakshmi 1 2017 Symmetric square \(L\)-values and dihedral congruences for cusp forms. Zbl 1213.11109 Dummigan, Neil; Heim, Bernhard 1 2010 Twisted adjoint \(L\)-values, dihedral congruence primes and the Bloch-Kato conjecture. Zbl 1469.11089 Dummigan, Neil 1 2020 Lifting congruences to half-integral weight. Zbl 1504.11064 Dummigan, Neil 1 2022 Powers of 2 in modular degrees of modular abelian varieties. Zbl 1321.11058 Dummigan, Neil; Krishnamoorthy, Srilakshmi 1 2013 Kurokawa-Mizumoto congruences and degree-8 \(L\)-values. Zbl 1472.11130 Dummigan, Neil; Heim, Bernhard; Rendina, Angelo 1 2019 Lifting congruences to half-integral weight. Zbl 1504.11064 Dummigan, Neil 1 2022 Congruences of local origin and automorphic induction. Zbl 1480.11052 Dummigan, Neil; Spencer, David 2 2021 Automorphic forms for some even unimodular lattices. Zbl 1483.11089 Dummigan, Neil; Fretwell, Dan 1 2021 Automorphic forms on Feit’s Hermitian lattices. Zbl 1487.11047 Dummigan, Neil; Schönnenbeck, Sebastian 1 2021 Twisted adjoint \(L\)-values, dihedral congruence primes and the Bloch-Kato conjecture. Zbl 1469.11089 Dummigan, Neil 1 2020 Kurokawa-Mizumoto congruences and degree-8 \(L\)-values. Zbl 1472.11130 Dummigan, Neil; Heim, Bernhard; Rendina, Angelo 1 2019 Eisenstein congruences for \(\mathrm{SO}(4,3)\), \(\mathrm{SO}(4,4)\), spinor, and triple product \(L\)-values. Zbl 1416.11066 Bergström, Jonas; Dummigan, Neil; Mégarbané, Thomas; Ibukiyama, Tomoyoshi; Katsurada, Hidenori 3 2018 Lifting puzzles and congruences of Ikeda and Ikeda-Miyawaki lifts. Zbl 1422.11109 Dummigan, Neil 2 2017 Lifting congruences to weight 3/2. Zbl 1425.11087 Dummigan, Neil; Krishnamoorthy, Srilakshmi 1 2017 Eisenstein congruences for split reductive groups. Zbl 1404.11048 Bergström, Jonas; Dummigan, Neil 12 2016 Ramanujan-style congruences of local origin. Zbl 1304.11027 Dummigan, Neil; Fretwell, Daniel 12 2014 Exact holomorphic differentials on a quotient of the Ree curve. Zbl 1307.14035 Dummigan, Neil; Farwa, Shabieh 4 2014 A simple trace formula for algebraic modular forms. Zbl 1309.11037 Dummigan, Neil 7 2013 Powers of 2 in modular degrees of modular abelian varieties. Zbl 1321.11058 Dummigan, Neil; Krishnamoorthy, Srilakshmi 1 2013 Yoshida lifts and Selmer groups. Zbl 1276.11069 Böcherer, Siegfried; Dummigan, Neil; Schulze-Pillot, Rainer 21 2012 Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups. Zbl 1254.11046 Dummigan, Neil; Ibukiyama, Tomoyoshi; Katsurada, Hidenori 14 2011 Triple product \(L\)-values and dihedral congruences for cusp forms. Zbl 1198.11050 Dummigan, Neil; Heim, Bernhard 1 2010 Symmetric square \(L\)-values and dihedral congruences for cusp forms. Zbl 1213.11109 Dummigan, Neil; Heim, Bernhard 1 2010 Symmetric square \(L\)-functions and Shafarevich-Tate groups. II. Zbl 1229.11078 Dummigan, Neil 11 2009 Euler factors and local root numbers for symmetric powers of elliptic curves. Zbl 1191.11020 Dummigan, Neil; Martin, Phil; Watkins, Mark 3 2009 Critical values of symmetric power \(L\)-functions. Zbl 1167.11020 Dummigan, Neil; Watkins, Mark 1 2009 Rational points of order 7. Zbl 1162.11029 Dummigan, Neil 1 2008 Eisenstein primes, critical values and global torsion. Zbl 1221.11124 Dummigan, Neil 4 2007 On a conjecture of Watkins. Zbl 1161.11351 Dummigan, Neil 3 2006 Rational torsion on optimal curves. Zbl 1158.11321 Dummigan, Neil 7 2005 Values of a Hilbert modular symmetric square \(L\)-function and the Bloch-Kato conjecture. Zbl 1137.11037 Dummigan, Neil 1 2005 Constructing elements in Shafarevich-Tate groups of modular motives. Zbl 1161.11354 Dummigan, Neil; Stein, William; Watkins, Mark 3 2003 Symmetric squares of elliptic curves: rational points and Steiner groups. Zbl 1162.11355 Dummigan, Neil 1 2002 Symmetric square \(L\)-functions and Shafarevich-Tate groups. Zbl 1039.11029 Dummigan, Neil 10 2001 Congruences of modular forms and Selmer groups. Zbl 1020.11026 Dummigan, Neil 6 2001 Period ratios of modular forms. Zbl 1041.11037 Dummigan, Neil 5 2000 Lower bounds for the minima of certain symplectic and unitary group lattices. Zbl 0936.20004 Dummigan, Neil; Pham Huu Tiep 10 1999 Complete \(p\)-descent for Jacobians of Hermitian curves. Zbl 0985.11028 Dummigan, Neil 4 1999 Congruences for certain theta series. Zbl 0916.11039 Dummigan, Neil; Pham Huu Tiep 4 1998 Algebraic cycles and even unimodular lattices. Zbl 0926.11044 Dummigan, Neil 3 1997 Symplectic group lattices as Mordell-Weil sublattices. Zbl 0869.11057 Dummigan, Neil 4 1996 The determinants of certain Mordell-Weil lattices. Zbl 0914.11033 Dummigan, Neil 10 1995 all cited Publications top 5 cited Publications all top 5 Cited by 123 Authors 20 Dummigan, Neil 10 Tiep Pham Huu 9 Katsurada, Hidenori 8 Klosin, Krzysztof 7 Ibukiyama, Tomoyoshi 4 Berger, Tobias 4 Bergström, Jonas 4 Brown, Jim L. 4 Byeon, Dongho 4 Fretwell, Dan 3 Böcherer, Siegfried 3 Namikawa, Kenichi 3 Pries, Rachel J. 3 Zalesski, Alexandre Efimovich 2 Agarwal, Mahesh 2 Booher, Jeremy 2 Cais, Bryden 2 Chida, Masataka 2 Di Martino, Lino 2 Guralnick, Robert Michael 2 Heim, Bernhard Ernst 2 Hsieh, Ming-Lun 2 Krishnamoorthy, Srilakshmi 2 Mégarbané, Thomas 2 Nagaoka, Shoyu 2 Newton, James 2 Ono, Ken 2 Pasten, Hector V. 2 Pitale, Ameya 2 Rolen, Larry 2 Saha, Abhishek 2 Scharlau, Rudolf 2 Schmidt, Ralf 2 Shekhar, Sudhanshu 2 Takemori, Sho 2 Thorne, Jack 2 Ulmer, Douglas L. 2 Van der Geer, Gerard 1 Achter, Jeffrey D. 1 Agashe, Amod 1 Assaf, Eran 1 Atobe, Hiraku 1 Bachoc, Christine 1 Caro, Jerson 1 Chenevier, Gaëtan 1 Dickson, Martin J. 1 Elkies, Noam David 1 Esparza-Lozano, Jose A. 1 Faber, Carel Filip 1 Farmer, David W. 1 Farwa, Shabieh 1 Gaba, Radu 1 Garnek, Jędrzej 1 Ghitza, Alexandru 1 Griess, Robert L. jun. 1 Gunby, Benjamin 1 Hidalgo, Rubén Antonio 1 Hirao, Masatake 1 Ikeda, Tamotsu 1 Inam, Ilker 1 Ingalls, Colin 1 Jeon, Daeyeol 1 Jha, Somnath 1 Katz, Nicholas Michael 1 Kawamura, Hisa-Aki 1 Kim, Chang Heon 1 Kim, Nayoung 1 Koutsoliotas, Sally 1 Kumar, Arvind 1 Kumari, Moni 1 Lanphier, Dominic 1 Lemma, Francesco 1 Lempken, Wolfgang 1 Li, Huixi 1 Löbrich, Steffen 1 Logan, Adam 1 Lorenzini, Dino J. 1 Ma, Wenjun 1 Magaard, Kay 1 Majumdar, Dipramit 1 Malmskog, Beth 1 Martin, Kimball 1 Masoero, Daniele 1 Melistas, Mentzelos 1 Mizumoto, Shin-ichiro 1 Montanucci, Maria 1 Moree, Pieter 1 Morimoto, Kazuki 1 Naskrȩcki, Bartosz 1 Navarro, Gabriel 1 Nozaki, Hiroshi 1 Ochiai, Tadashi 1 Poor, Cris 1 Popa, Alexandru A. 1 Prasad, Dipendra 1 Raum, Martin 1 Rendina, Angelo 1 Roy, Manami 1 Ryan, Nathan C. 1 Sambale, Benjamin ...and 23 more Authors all top 5 Cited in 38 Serials 14 Journal of Number Theory 7 Experimental Mathematics 6 Journal of Algebra 6 Transactions of the American Mathematical Society 5 Journal of the Mathematical Society of Japan 5 Journal de Théorie des Nombres de Bordeaux 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 International Journal of Number Theory 4 Research in Number Theory 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Proceedings of the American Mathematical Society 3 Selecta Mathematica. New Series 3 Kyoto Journal of Mathematics 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 The Ramanujan Journal 2 Algebra & Number Theory 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Acta Arithmetica 1 Archiv der Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Annales Mathématiques du Québec 1 Research in the Mathematical Sciences all top 5 Cited in 8 Fields 99 Number theory (11-XX) 18 Algebraic geometry (14-XX) 15 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 3 Information and communication theory, circuits (94-XX) 2 Geometry (51-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) Citations by Year